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Simplifying 3i + -15 = 4i + 6 Reorder the terms: -15 + 3i = 4i + 6 Reorder the terms: -15 + 3i = 6 + 4i Solving -15 + 3i = 6 + 4i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4i' to each side of the equation. -15 + 3i + -4i = 6 + 4i + -4i Combine like terms: 3i + -4i = -1i -15 + -1i = 6 + 4i + -4i Combine like terms: 4i + -4i = 0 -15 + -1i = 6 + 0 -15 + -1i = 6 Add '15' to each side of the equation. -15 + 15 + -1i = 6 + 15 Combine like terms: -15 + 15 = 0 0 + -1i = 6 + 15 -1i = 6 + 15 Combine like terms: 6 + 15 = 21 -1i = 21 Divide each side by '-1'. i = -21 Simplifying i = -21
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